934 research outputs found
Four conjectures in Nonlinear Analysis
- Author
- Publication venue
- Publication date
- 15/06/2017
- Field of study
In this chapter, I formulate four challenging conjectures in Nonlinear
Analysis. More precisely: a conjecture on the Monge-Amp\`ere equation; a
conjecture on an eigenvalue problem; a conjecture on a non-local problem; a
conjecture on disconnectedness versus infinitely many solutions.Comment: arXiv admin note: text overlap with arXiv:1504.01010,
arXiv:1409.5919, arXiv:1612.0819
Ground state of excitons and charged excitons in a quantum well
- Author
- Publication venue
- 'Wiley'
- Publication date
- 09/11/1999
- Field of study
A variational calculation of the ground state of a neutral exciton and of
positively and negatively charged excitons (trions) in single quantum well is
presented. We study the dependance of the correlation energy and of the binding
energy on the well width and on the hole mass. Our results are are compared
with previous theoretical results and with avalaible experimental data.Comment: 8 pages, 5 figures presented to OECS
A supercritical elliptic problem in a cylindrical shell
- Author
- Publication venue
- Publication date
- 06/04/2013
- Field of study
We consider the problem âÎu=âŁuâŁpâ2uinΊ,u=0onâΊ, where
Ί:={(y,z)âRm+1ĂRNâmâ1:0<a<âŁyâŁ<b<â}, 0â¤mâ¤Nâ1 and NâĽ2. Let
2N,mââ:=2(Nâm)/(Nâmâ2) if m<Nâ2 and 2N,mââ:=â if
m=Nâ2 or Nâ1. We show that 2N,mââ is the true critical exponent
for this problem, and that there exist nontrivial solutions if
2<p<2N,mââ but there are no such solutions if pâĽ2N,mââ
Bubble concentration on spheres for supercritical elliptic problems
- Author
- Publication venue
- Publication date
- 12/02/2013
- Field of study
We consider the supercritical Lane-Emden problem (P_\eps)\qquad
-\Delta v= |v|^{p_\eps-1} v \ \hbox{in}\ \mathcal{A} ,\quad u=0\ \hbox{on}\
\partial\mathcal{A}
where A is an annulus in \rr^{2m}, mâĽ2 and
p_\eps={(m+1)+2\over(m+1)-2}-\eps, \eps>0.
We prove the existence of positive and sign changing solutions of (P_\eps)
concentrating and blowing-up, as \eps\to0, on (mâ1)âdimensional spheres.
Using a reduction method (see Ruf-Srikanth (2010) J. Eur. Math. Soc. and
Pacella-Srikanth (2012) arXiv:1210.0782)we transform problem (P_\eps) into a
nonhomogeneous problem in an annulus \mathcal D\subset \rr^{m+1} which can be
solved by a Ljapunov-Schmidt finite dimensional reduction
3D Chiral MetaCrystals
- Publication venue
- 'Wiley'
- Publication date
- 01/01/2022
- Field of study
Fine control of the chiral light-matter interaction at the nanoscale, by exploiting designed metamaterial architecture, represents a cutting-edge craft in the field of biosensing, quantum, and classic nanophotonics. Recently, artificially engineered 3D nanohelices demonstrate programmable wide chiroptical properties by tuning materials and architecture, but fundamental diffractive aspects that are at the origin of chiral resonances still remain elusive. Here, a novel concept of a 3D chiral metacrystal, where the chiroptical properties are finely tuned by in-plane and out-of-plane diffractive coupling, is proposed. Different chiral dipolar modes can be excited along the helix arms, generating far field optical resonances and radiation pattern with in-plane side lobes, and suggesting that a combination of efficient dipole excitation and diffractive coupling matching controls the collective oscillations among the neighbor helices. The proposed concept of compact chiral metacrystal can be suitable for integration with quantum emitters and open perspectives in novel schemes of enantiomeric detection
Performance of the CMS Cathode Strip Chambers with Cosmic Rays
- Author
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- Zachariadou A
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- Publication venue
- 'IOP Publishing'
- Publication date
- 01/01/2009
- Field of study
The Cathode Strip Chambers (CSCs) constitute the primary muon tracking device
in the CMS endcaps. Their performance has been evaluated using data taken
during a cosmic ray run in fall 2008. Measured noise levels are low, with the
number of noisy channels well below 1%. Coordinate resolution was measured for
all types of chambers, and fall in the range 47 microns to 243 microns. The
efficiencies for local charged track triggers, for hit and for segments
reconstruction were measured, and are above 99%. The timing resolution per
layer is approximately 5 ns
Performance of CMS muon reconstruction in pp collision events at sqrt(s) = 7 TeV
- Author
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- Zumerle G
- Zuranski A
- Publication venue
- 'IOP Publishing'
- Publication date
- 01/01/2012
- Field of study
The performance of muon reconstruction, identification, and triggering in CMS
has been studied using 40 inverse picobarns of data collected in pp collisions
at sqrt(s) = 7 TeV at the LHC in 2010. A few benchmark sets of selection
criteria covering a wide range of physics analysis needs have been examined.
For all considered selections, the efficiency to reconstruct and identify a
muon with a transverse momentum pT larger than a few GeV is above 95% over the
whole region of pseudorapidity covered by the CMS muon system, abs(eta) < 2.4,
while the probability to misidentify a hadron as a muon is well below 1%. The
efficiency to trigger on single muons with pT above a few GeV is higher than
90% over the full eta range, and typically substantially better. The overall
momentum scale is measured to a precision of 0.2% with muons from Z decays. The
transverse momentum resolution varies from 1% to 6% depending on pseudorapidity
for muons with pT below 100 GeV and, using cosmic rays, it is shown to be
better than 10% in the central region up to pT = 1 TeV. Observed distributions
of all quantities are well reproduced by the Monte Carlo simulation.Comment: Replaced with published version. Added journal reference and DO
Performance of CMS muon reconstruction in pp collision events at sqrt(s) = 7 TeV
- Author
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- Abbiendi G
- Abbrescia M
- Abdullin S
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- Yilmaz Y
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- Yumiceva F
- Yun JC
- Zabel J
- Zabi A
- Zablocki J
- Zaganidis N
- Zakaria M
- Zalewski P
- Zanetti M
- Zang J
- Zang SL
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- Zatserklyaniy A
- Zeinali M
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- Zeuner WD
- Zeyrek M
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- Zoeller MH
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- Zumerle G
- Zuranski A
- Publication venue
- 'IOP Publishing'
- Publication date
- 01/01/2012
- Field of study
The performance of muon reconstruction, identification, and triggering in CMS
has been studied using 40 inverse picobarns of data collected in pp collisions
at sqrt(s) = 7 TeV at the LHC in 2010. A few benchmark sets of selection
criteria covering a wide range of physics analysis needs have been examined.
For all considered selections, the efficiency to reconstruct and identify a
muon with a transverse momentum pT larger than a few GeV is above 95% over the
whole region of pseudorapidity covered by the CMS muon system, abs(eta) < 2.4,
while the probability to misidentify a hadron as a muon is well below 1%. The
efficiency to trigger on single muons with pT above a few GeV is higher than
90% over the full eta range, and typically substantially better. The overall
momentum scale is measured to a precision of 0.2% with muons from Z decays. The
transverse momentum resolution varies from 1% to 6% depending on pseudorapidity
for muons with pT below 100 GeV and, using cosmic rays, it is shown to be
better than 10% in the central region up to pT = 1 TeV. Observed distributions
of all quantities are well reproduced by the Monte Carlo simulation.Comment: Replaced with published version. Added journal reference and DO
Performance and Operation of the CMS Electromagnetic Calorimeter
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- Publication venue
- 'IOP Publishing'
- Publication date
- 01/01/1
- Field of study
The operation and general performance of the CMS electromagnetic calorimeter
using cosmic-ray muons are described. These muons were recorded after the
closure of the CMS detector in late 2008. The calorimeter is made of lead
tungstate crystals and the overall status of the 75848 channels corresponding
to the barrel and endcap detectors is reported. The stability of crucial
operational parameters, such as high voltage, temperature and electronic noise,
is summarised and the performance of the light monitoring system is presented
Correlation Effects in Wave Function Mapping of Molecular Beam Epitaxy Grown Quantum Dots
- Author
- Publication venue
- 'American Chemical Society (ACS)'
- Publication date
- Field of study
- âŚ